The US served as a facilitator during the talks, which were held under the auspices of the UN in the Lebanese border town of Naqoura.
Iraqi and Saudi leaders have voiced concern over Iran's unrelenting effort to sow discord and continue its expansionist activities in the region.
Iran has chastised the peace agreements brokered by the US and signed by the UAE and Bahrain, because 'peace threatens its very purpose', observers say.
During a new round of talks, government officials discussed a draft joint declaration to restore the political process in Yemen.
'Real change is what the people of Lebanon are demanding, and the US is going to use its diplomatic presence and capabilities to make sure that we get that outcome,' Pompeo said.
The legitimate government has rejected the Houthis' attempts to split the first phase of the prisoner exchange into two stages.
Appeals for millions of dollars in emergency relief are being met by pledges of food and medicine support.
The 25-year accord would put Beijing in position to provide an internationally recognised state sponsor of terrorism with military and intelligence assistance.
Minister of Foreign Affairs Yusuf bin Alawi bin Abdullah has visited both Iran and the US in recent months to discuss regional developments.
The UN Yemen envoy made a renewed push for truce, stressing that peace is part of a broader package of needs that must be agreed to, including humanitarian and economic measures.